%%% general text books

@book{Cover2006,
    address = {New York},
    author = {Cover, T. M. and Thomas, J. A.},
    edition = {Second},
    isbn = {0471241954},
    pages = {776},
    publisher = {Wiley-Interscience},
    title = {{Elements of Information Theory}},
    year = {2006},
    doi = {10.1002/047174882X}
}

@book{MacKay2003,
    title={Information theory, inference and learning algorithms},
    author={MacKay, D. J.C.},
    year={2003},
    publisher={Cambridge university press}
}

@book{Yeung2008,
    title={Information theory and network coding},
    author={Yeung, R. W.},
    year={2008},
    publisher={Springer},
    doi = {10.1007/978-0-387-79234-7}
}

@url{dit,
	title={dit: a Python package for discrete information theory. Available at: \url{https://github.com/dit/dit}},
	urldate={2018-04-27}
}

% co-information
@inproceedings{Bell2003,
  author = "A. J. Bell",
  title = "The Co-information Lattice",
  booktitle = "Proc. Fifth Intl. Workshop on Independent Component Analysis and Blind Signal Separation",
  editor = "S.  Amari, A. Cichocki, S. Makino and N. Murata",
  publisher = "Springer",
  address = "New York",
  volume = "ICA 2003",
  optnumber = "",
  pages = "921--926",
  year = "2003"
}

% interaction information
@article{mcgill1954multivariate,
  title={Multivariate information transmission},
  author={McGill, W. J.},
  journal={Psychometrika},
  volume={19},
  number={2},
  pages={97--116},
  year={1954},
  publisher={Springer},
  doi={10.1109/TIT.1954.1057469}
}

% total correlation
@article{watanabe1960information,
  title={Information theoretical analysis of multivariate correlation},
  author={Watanabe, S.},
  journal={IBM Journal of research and development},
  volume={4},
  number={1},
  pages={66--82},
  year={1960},
  publisher={IBM},
  doi={10.1147/rd.41.0066}
}

% dual total correlation
@article{te1980multiple,
  title={Multiple mutual informations and multiple interactions in frequency data},
  author={Te Sun, H.},
  journal={Information and Control},
  volume={46},
  pages={26--45},
  year={1980},
  publisher={Elsevier},
  doi={10.1016/S0019-9958(80)90478-7}
}

@article{Han1975linear,
  title={Linear dependence structure of the entropy space},
  author={Han, T. S.},
  journal={Information and Control},
  volume={29},
  pages={337--368},
  year={1975},
  publisher={Elsevier},
  doi={10.1016/S0019-9958(75)80004-0}
}

@article{Abdallah2012,
  title={A measure of statistical complexity based on predictive information with application to finite spin systems},
  author={Abdallah, S. A. and Plumbley, M. D.},
  journal={Physics Letters A},
  volume={376},
  number={4},
  pages={275--281},
  year={2012},
  publisher={Elsevier},
  doi={10.1016/j.physleta.2011.10.066}
}

% CAEKL mutual information
@article{chan2015multivariate,
  title={Multivariate Mutual Information Inspired by Secret-Key Agreement},
  author={Chan, Chung and Al-Bashabsheh, Ali and Ebrahimi, Javad B and Kaced, Tarik and Liu, Tie},
  journal={Proceedings of the IEEE},
  volume={103},
  number={10},
  pages={1883--1913},
  year={2015},
  publisher={IEEE},
  doi={10.1109/JPROC.2015.2458316}
}

%% common informations

% Gács-Körner common information
@article{Gacs1973,
    title={Common information is far less than mutual information},
    author={G{\'a}cs, Peter and K{\"o}rner, J{\'a}nos},
    journal={Problems of Control and Information Theory},
    volume={2},
    number={2},
    pages={149--162},
    year={1973}
}

% multivariate Gács-Körner common information
@article{tyagi2011function,
  title={When is a function securely computable?},
  author={Tyagi, H. and Narayan, P. and Gupta, P.},
  journal={Information Theory, IEEE Transactions on},
  volume={57},
  number={10},
  pages={6337--6350},
  year={2011},
  publisher={IEEE},
  doi={10.1109/TIT.2011.2165807}
}

% wyner common information
@article{wyner1975common,
  title={The common information of two dependent random variables},
  author={Wyner, A. D.},
  journal={Information Theory, IEEE Transactions on},
  volume={21},
  number={2},
  pages={163--179},
  year={1975},
  publisher={IEEE},
  doi={10.1109/TIT.1975.1055346}
}

% multivariate wyner common information
@inproceedings{liu2010common,
  title={The common information of N dependent random variables},
  author={Liu, Wei and Xu, Ge and Chen, Biao},
  booktitle={Communication, Control, and Computing (Allerton), 2010 48th Annual Allerton Conference on},
  pages={836--843},
  year={2010},
  organization={IEEE},
  doi={10.1109/ALLERTON.2010.5706995}
}

% exact common information
@inproceedings{kumar2014exact,
  title={Exact common information},
  author={Kumar, G. R. and Li, C. T. and El Gamal, A.},
  booktitle={Information Theory (ISIT), 2014 IEEE International Symposium on},
  pages={161--165},
  year={2014},
  organization={IEEE},
  doi={10.1109/ISIT.2014.6874815}
}

% marginal utility of information
@article{allen2017multiscale,
  title={Multiscale information theory and the marginal utility of information},
  author={Allen, Benjamin and Stacey, Blake C and Bar-Yam, Yaneer},
  journal={Entropy},
  volume={19},
  number={6},
  pages={273},
  year={2017},
  publisher={Multidisciplinary Digital Publishing Institute},
  doi={10.3390/e19060273}
}

% complexity profile
@article{Baryam2004,
  title={Multiscale complexity/entropy},
  author={Bar-Yam, Y.},
  journal={Advances in Complex Systems},
  volume={7},
  number={01},
  pages={47--63},
  year={2004},
  publisher={World Scientific},
  doi={10.1142/S0219525904000068}
}

@article{Amari2001,
  title={Information geometry on hierarchy of probability distributions},
  author={Amari, Shun-ichi},
  journal={Information Theory, IEEE Transactions on},
  volume={47},
  number={5},
  pages={1701--1711},
  year={2001},
  publisher={IEEE},
  doi={10.1109/18.930911}
}

% connected information
@article{Schneidman2003,
  title={Network information and connected correlations},
  author={Schneidman, E. and Still, S. and Berry, M. J. and Bialek, W. and others},
  journal={Phys. Rev. Lett.},
  volume={91},
  number={23},
  pages={238701},
  year={2003},
  publisher={APS},
  doi={10.1103/PhysRevLett.91.238701}
}

% pid
@article{williams2010nonnegative,
  title={Nonnegative decomposition of multivariate information},
  author={Williams, Paul L and Beer, Randall D},
  journal={arXiv preprint arXiv:1004.2515},
  year={2010}
}

% information bottleneck
@article{tishby2000information,
  title={The information bottleneck method},
  author={Tishby, Naftali and Pereira, Fernando C and Bialek, William},
  journal={arXiv preprint physics/0004057},
  year={2000}
}

% secret key agreement
@inproceedings{maurer1997intrinsic,
  title={The intrinsic conditional mutual information and perfect secrecy},
  author={Maurer, Ueli and Wolf, Stefan},
  booktitle={IEEE international symposium on information theory},
  pages={88--88},
  year={1997},
  organization={Citeseer},
  doi={10.1109/ISIT.1997.613003}
}
